Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 471
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In this article, we consider some classes of forced Korteweg-de Vries equations of fractional order in complex domain. The existence and uniqueness of holomorphic solution are established. We illustrate our theoretical result by examples.
Classification :
34A12
Keywords: Fractional calculus, fractional differential equation, holomorphic solution, unit disk, Riemann-Liouville operators, nonlinear, Korteweg-de Vries equation (KdV), Tsunami, forced (KdV).
Keywords: Fractional calculus, fractional differential equation, holomorphic solution, unit disk, Riemann-Liouville operators, nonlinear, Korteweg-de Vries equation (KdV), Tsunami, forced (KdV).
@article{KJM_2011_35_3_a10,
author = {Rabha W. Ibrahim},
title = {Holomorphic solution for classes of forced {Korteweg-de} {Vries} equations of fractional order},
journal = {Kragujevac Journal of Mathematics},
pages = {471 },
year = {2011},
volume = {35},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a10/}
}
Rabha W. Ibrahim. Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 471 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a10/